COMPLEX NUMBER Meaning and
Definition
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A complex number is a number that is expressed as the sum of a real number and an imaginary number, written in the form a + bi, where "a" represents the real part and "b" represents the imaginary part. In this expression, "i" denotes the imaginary unit, which is defined as the square root of -1. The real part can be any real number and the imaginary part can be any real number multiplied by the imaginary unit "i". Complex numbers are useful in mathematics, physics, engineering, and various scientific fields.
Complex numbers are multi-dimensional, representing a point on the complex plane, where the real part represents the horizontal axis and the imaginary part represents the vertical axis. They fundamentally expand the number system beyond the real numbers, allowing for the representation of quantities that cannot be expressed solely as real numbers.
The complex number system extends the real number system by introducing the concept of "imaginary" values, enabling solutions to problems that involve square roots of negative numbers. This system enables the representation of quantities such as electrical impedance, wave functions, and vector quantities in physics. Furthermore, complex numbers find applications in solving equations, trigonometric functions, and representing rotating vectors in engineering, among many other uses.
Common Misspellings for COMPLEX NUMBER
- xomplex number
- vomplex number
- fomplex number
- domplex number
- cimplex number
- ckmplex number
- clmplex number
- cpmplex number
- c0mplex number
- c9mplex number
- conplex number
- cokplex number
- cojplex number
- comolex number
- comllex number
- com-lex number
- com0lex number
- compkex number
- comppex number
Etymology of COMPLEX NUMBER
The word "complex" in the term "complex number" originated from the Latin word "complexus", which means "entwined" or "interwoven". This Latin term was used in geometry to describe the connection or combination of multiple parts to create a unified whole. In the 16th century, the term "complex" began to be used in mathematics to describe numbers that are composed of both a real part and an imaginary part, hence the term "complex number". The concept of complex numbers was further developed by mathematicians like Rafael Bombelli, John Wallis, and Leonhard Euler in the 16th and 18th centuries.
Similar spelling words for COMPLEX NUMBER
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